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2,124

2,124 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
16
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
4,212
Recamán's sequence
a(3,503) = 2,124
Square (n²)
4,511,376
Cube (n³)
9,582,162,624
Divisor count
18
σ(n) — sum of divisors
5,460
φ(n) — Euler's totient
696
Sum of prime factors
69

Primality

Prime factorization: 2 2 × 3 2 × 59

Nearest primes: 2,113 (−11) · 2,129 (+5)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 59 · 118 · 177 · 236 · 354 · 531 · 708 · 1062 (half) · 2124
Aliquot sum (sum of proper divisors): 3,336
Factor pairs (a × b = 2,124)
1 × 2124
2 × 1062
3 × 708
4 × 531
6 × 354
9 × 236
12 × 177
18 × 118
36 × 59
First multiples
2,124 · 4,248 (double) · 6,372 · 8,496 · 10,620 · 12,744 · 14,868 · 16,992 · 19,116 · 21,240

Sums & aliquot sequence

As consecutive integers: 707 + 708 + 709 262 + 263 + … + 269 232 + 233 + … + 240 77 + 78 + … + 100
Aliquot sequence: 2,124 3,336 5,064 7,656 13,944 26,376 49,464 88,536 187,944 295,896 443,904 812,340 1,652,304 2,767,056 4,803,888 7,914,048 13,495,104 — unresolved within range

Representations

In words
two thousand one hundred twenty-four
Ordinal
2124th
Roman numeral
MMCXXIV
Binary
100001001100
Octal
4114
Hexadecimal
0x84C
Base64
CEw=
One's complement
63,411 (16-bit)
In other bases
ternary (3) 2220200
quaternary (4) 201030
quinary (5) 31444
senary (6) 13500
septenary (7) 6123
nonary (9) 2820
undecimal (11) 1661
duodecimal (12) 1290
tridecimal (13) c75
tetradecimal (14) aba
pentadecimal (15) 969

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βρκδʹ
Mayan (base 20)
𝋥·𝋦·𝋤
Chinese
二千一百二十四
Chinese (financial)
貳仟壹佰貳拾肆
In other modern scripts
Eastern Arabic ٢١٢٤ Devanagari २१२४ Bengali ২১২৪ Tamil ௨௧௨௪ Thai ๒๑๒๔ Tibetan ༢༡༢༤ Khmer ២១២៤ Lao ໒໑໒໔ Burmese ၂၁၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 2,124 = 2
e — Euler's number (e)
Digit 2,124 = 6
φ — Golden ratio (φ)
Digit 2,124 = 7
√2 — Pythagoras's (√2)
Digit 2,124 = 0
ln 2 — Natural log of 2
Digit 2,124 = 0
γ — Euler-Mascheroni (γ)
Digit 2,124 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2124, here are decompositions:

  • 11 + 2113 = 2124
  • 13 + 2111 = 2124
  • 37 + 2087 = 2124
  • 41 + 2083 = 2124
  • 43 + 2081 = 2124
  • 61 + 2063 = 2124
  • 71 + 2053 = 2124
  • 97 + 2027 = 2124

Showing the first eight; more decompositions exist.

Unicode codepoint
Mandaic Letter AM
U+084C
Other letter (Lo)

UTF-8 encoding: E0 A1 8C (3 bytes).

Hex color
#00084C
RGB(0, 8, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.76.

Address
0.0.8.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.76

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 2124 first appears in π at position 9,480 of the decimal expansion (the 9,480ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.